Approximation of Reliability for a large system
with non-markovian
repair-times

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Consider a system of many components with constant failure rate and
general repair rate. When all components are reliable and easily reparable,
the reliability of the system can be evaluated from the probability q of
failure before restoration. In [14], authors give an asymptotic
approximation by monotone sequences. In the same framework, we propose,
here, a bounding for q and apply it in the ageing property case.

How to cite

Bon, Jean-Louis, and Bretagnolle, Jean. "Approximation of Reliability for a large system with non-markovian repair-times." ESAIM: Probability and Statistics 3 (2010): 49-65. <http://eudml.org/doc/197749>.

@article{Bon2010, abstract = {
Consider a system of many components with constant failure rate and
general repair rate. When all components are reliable and easily reparable,
the reliability of the system can be evaluated from the probability q of
failure before restoration. In [14], authors give an asymptotic
approximation by monotone sequences. In the same framework, we propose,
here, a bounding for q and apply it in the ageing property case.
}, author = {Bon, Jean-Louis, Bretagnolle, Jean}, journal = {ESAIM: Probability and Statistics}, keywords = { Reliability; ageing repair; minimal cut.; harmonic new better than used in expectation; constant failure rate; general repair rate; HNBUE}, language = {eng}, month = {3}, pages = {49-65}, publisher = {EDP Sciences}, title = {Approximation of Reliability for a large system with non-markovian repair-times}, url = {http://eudml.org/doc/197749}, volume = {3}, year = {2010},}

TY - JOURAU - Bon, Jean-LouisAU - Bretagnolle, JeanTI - Approximation of Reliability for a large system with non-markovian repair-timesJO - ESAIM: Probability and StatisticsDA - 2010/3//PB - EDP SciencesVL - 3SP - 49EP - 65AB -
Consider a system of many components with constant failure rate and
general repair rate. When all components are reliable and easily reparable,
the reliability of the system can be evaluated from the probability q of
failure before restoration. In [14], authors give an asymptotic
approximation by monotone sequences. In the same framework, we propose,
here, a bounding for q and apply it in the ageing property case.
LA - engKW - Reliability; ageing repair; minimal cut.; harmonic new better than used in expectation; constant failure rate; general repair rate; HNBUEUR - http://eudml.org/doc/197749ER -